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Finding the Fourth Proportional to 2,438.19, 3,657.28 and 978.37

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Solution

The fourth proportional to 2,438.19, 3,657.28 and 978.37 is: 1,467.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,438.19 : 3,657.28 = 978.37 : x
  2. Step 2: Convert to fraction form
    2,438.19/3,657.28 = 978.37/x
  3. Step 3: Cross multiply
    2,438.19x = 3,657.28 × 978.37
  4. Step 4: Simplify right side
    2,438.19x = 3,578,161.44
  5. Step 5: Solve for x
    x = 3,578,161.44/2,438.19
  6. Step 6: Final answer
    x = 1,467.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.